Multiple Authors, Openstax College
Pub Date: 2014
ISBN 13: 978-1-9381683-4-5
Conditions of Use
More important than the generous selection of topics that this text includes is the inviting way in which the mathematics is presented, through read more
More important than the generous selection of topics that this text includes is the inviting way in which the mathematics is presented, through engaging and colorful pictures, tables, graphs, and examples from real life (for example, in introducing logarithms via application to the Richter scale). The engaging style is essential to building an understanding that is comprehensive not only in breadth of topics but also in its relevance, interest and hands-on feel for the student.
The text is accurate, in as much as I have read.
The mathematics is classical, but presented in a modern-day setting that includes examples and motivation from current and recent events; these will be both easy to update and interesting for years to come.
The concepts are presented without clutter, in a friendly yet accurate way. The "Q&A" questions and answers add to the interactive feel. In places, some formalism seeps in, but this is dispelled by clear pictures and examples and practice questions for the student to try. The "How To" boxes are generally helpful, but at times they reduce creative thinking to an algorithm without ample explanation for why it works (as for example, in finding the vertex of a quadratic function). Here the instructor will need to fill in the reasoning, letting the text serve as a reference and summary. The real-world applications help make the mathematics more clear.
The text is consistent in both terminology and style.
The text is conveniently divided into smaller sections that can be easily located and studied at any point in the course.
The organization of the topics and the ideas within each topic follows a logical succession, while the modularity allows for any sub-topic to be studied with as much independence as possible.
The interface is uncluttered and easy to navigate. I have not had the opportunity to use this book yet, but my impression is that the students (and I) would find it easy and enjoyable to work with.
The grammar is good.
The examples are varied, from modern everyday life, and they come across as truly relevant (rather than contrived). At least one (about movies) I thought was insensitive, but there are plenty of good examples in the text.
I imagine that students will enjoy reading this book because of its friendly, interactive, example-oriented, uncluttered, and easy-to-navigate style. This is a book that I can see as a truly helpful learning companion.
Table of Contents
- Linear Functions
- Polynomial and Rational Functions
- Exponential and Logarithmic Function
- Trigonometric Functions
- Periodic Functions
- Trigonometric Identities and Equations
- Further Applications of Trigonometry
- Systems of Equations and Inequalities
- Analytic Geometry
- Sequences, Probability and Counting Theory
- Introduction to Calculus
About the Book
Precalculus is intended for college-level precalculus students. Since precalculus courses vary from one institution to the next, we have attempted to meet the needs of as broad an audience as possible, including all of the content that might be covered in any particular course. The result is a comprehensive book that covers more ground than an instructor could likely cover in a typical one- or two-semester course; but instructors should find, almost without fail, that the topics they wish to include in their syllabus are covered in the text. Many chapters of Openstax College Precalculus are suitable for other freshman and sophomore math courses such as College Algebra and Trigonometry; however, instructors of those courses might need to supplement or adjust the material. Openstax will also be releasing College Algebra and Algebra and Trigonometry titles tailored to the particular scope, sequence, and pedagogy of those courses.
OpenStax College has compiled many resources for faculty and students, from faculty-only content to interactive homework and study guides.
About the Contributors
Lead Author, Senior Content Expert
Jay Abramson, Arizona State University
Valeree Falduto, Palm Beach State College
Rachael Grosss, Towson State University
David Lippman, Pierce College
Melonie Rasmussen, Pierce College
Rick Norwood, East Tennessee State University
Nicholas Belloit, Florida State College, Jacksonville